Question

what will happen to the volume of a cube if each of its edge is halved ?​

Answer 1

If each of the edge is halved then its new edge is = a/2

Then its volume is a/2 * a/2 * a/2

=a^3/8

So it is 1/8th of the real volume

Answer 2

$\bf(here \: is \: your \: answer) \\ (solution)$

we know that:

volume of cube = a³ 

where, a is the side or length of edge of cube. 

So, here

if the length of edges of cube is halved 

=> side of cube = a / 2

=> volume = (a/2)³ 

= a³ / 2³ 

= a³ / 8 

Hence 

when the edge length is halved then the volume of cube become 1/8 of the volume before.